Generalized covering designs and clique coverings

  title={Generalized covering designs and clique coverings},
  author={Robert F. Bailey and Andrea C. Burgess and Michael S. Cavers and Karen Meagher},
Inspired by the “generalized t-designs” defined by Cameron [P. J. Cameron, A generalisation of t-designs, Discrete Math. 309 (2009), 4835–4842], we define a new class of combinatorial designs which simultaneously provide a generalization of both covering designs and covering arrays. We then obtain a number of bounds on the minimum sizes of these designs, and describe some methods of constructing them, which in some cases we prove are optimal. Many of our results are obtained from an… CONTINUE READING

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